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19912026
most citedGeometric deep learning: going beyond Euclidean data

3.7k citations

Showing 2021Show all

111 papers · 1 filter

physics.flu-dyn2021★ 4 cited

Anomalous Statistics and Large Deviations of Turbulent Water Waves past a Step

Di Qi, Eric Vanden-Eijnden

A computational strategy based on large deviation theory (LDT) is used to study the anomalous statistical features of turbulent surface waves propagating past an abrupt depth chang…

math.NA2021★ 16 cited

An Analysis of the Numerical Stability of the Immersed Boundary Method

Mengjian Hua, Charles S. Peskin

We present a numerical stability analysis of the immersed boundary(IB) method for a special case which is constructed so that Fourier analysis is applicable. We examine the stabili…

math-ph2021★ 6 cited

Projections of Orbital Measures and Quantum Marginal Problems

Benoît Collins, Colin McSwiggen

This paper studies projections of uniform random elements of (co)adjoint orbits of compact Lie groups. Such projections generalize several widely studied ensembles in random matrix…

math.NA2021★ 27 cited

A Weighted State Redistribution Algorithm for Embedded Boundary Grids

Andrew Giuliani, Ann S. Almgren, John B. Bell +3

State redistribution is an algorithm that stabilizes cut cells for embedded boundary grid methods. This work extends the earlier algorithm in several important ways. First, state r…

astro-ph.GA2021★ 33 cited

Self-absorption in [CII], CO, and HI in RCW120. Building up a geometrical and physical model of the region

S. Kabanovic, N. Schneider, V. Ossenkopf-Okada +19

Revealing the 3D dynamics of HII regions and their associated molecular clouds is important for understanding the longstanding problem as to how stellar feedback affects the densit…

math.PR2021★ 3 cited

Phase transition for level-set percolation of the membrane model in dimensions

Alberto Chiarini, Maximilian Nitzschner

We consider level-set percolation for the Gaussian membrane model on , with , and establish that as varies, a non-trivial percolation pha…